The method of hereditary pencils, originally suggested by the author for solving spectral problems for two-parameter matrices (pencils of matrices), is extended to the case of q-parameter, q ≥ 2, polynomial matrices. Algorithms for computing points of the finite regular and singular spectra of a q-parameter polynomial matrix and their theoretical justification are presented. Bibliography: 2 titles.
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V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 4,” Zap. Nauchn. Semin. POMI, 367, 121–144 (2009).
V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8,”. Zap. Nauchn. Semin. POMI, 382, 150–167 (2010).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 382, 2010, pp. 168–183.
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Kublanovskaya, V.N. To solving spectral problems for q-parameter polynomial matrices. J Math Sci 176, 93–101 (2011). https://doi.org/10.1007/s10958-011-0397-4
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DOI: https://doi.org/10.1007/s10958-011-0397-4